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THE SUPERCOMPLEXIFICATIONS AND ODD BIHAMILTONIANS STRUCTURES
, 2000
"... Abstract. The general method of the complex supersymmetrization (supercomplexifications) of the soliton equations with the odd (bi) hamiltonian structure is established. New version of the supercomplexified KadomtsevPetvishvili hierarchy is given. The second odd Hamiltonian operator of the SUSY KdV ..."
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Abstract. The general method of the complex supersymmetrization (supercomplexifications) of the soliton equations with the odd (bi) hamiltonian structure is established. New version of the supercomplexified KadomtsevPetvishvili hierarchy is given. The second odd Hamiltonian operator of the SUSY Kd
Deformations of semisimple bihamiltonian structures of hydrodynamic type
 J. Geom. Phys
"... We classify in this paper infinitesimal quasitrivial deformations of semisimple bihamiltonian structures of hydrodynamic type. 1 ..."
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Cited by 36 (9 self)
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We classify in this paper infinitesimal quasitrivial deformations of semisimple bihamiltonian structures of hydrodynamic type. 1
On the quasitriviality deformations of bihamiltonian structures of hydrodynamic type
"... We prove in this paper the quasitriviality of a class of deformations of the one component bihamiltonian structures of hydrodynamic type. 1 ..."
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Cited by 6 (1 self)
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We prove in this paper the quasitriviality of a class of deformations of the one component bihamiltonian structures of hydrodynamic type. 1
Kronecker webs, bihamiltonian structures, and the method of argument translation
, 1999
"... Abstract. We show that manifolds which parameterize values of first integrals of integrable finitedimensional bihamiltonian systems carry a geometric structure which we call a Kronecker web. We describe two oppositedirection functors between Kronecker webs and integrable bihamiltonian structures, ..."
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Cited by 15 (1 self)
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Abstract. We show that manifolds which parameterize values of first integrals of integrable finitedimensional bihamiltonian systems carry a geometric structure which we call a Kronecker web. We describe two oppositedirection functors between Kronecker webs and integrable bihamiltonian structures
Frobenius Manifolds and . . . The DrinfeldSokolov Bihamiltonian Structures
, 2007
"... The DrinfeldSokolov construction associates a hierarchy of bihamiltonian integrable systems with every untwisted affine Lie algebra. We compute the complete set of invariants of the related bihamiltonian structures with respect to the group of Miura type transformations. ..."
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The DrinfeldSokolov construction associates a hierarchy of bihamiltonian integrable systems with every untwisted affine Lie algebra. We compute the complete set of invariants of the related bihamiltonian structures with respect to the group of Miura type transformations.
Deformations of the Bihamiltonian Structures on the Loop Space of Frobenius Manifolds
, 2002
"... We consider an important class of deformations of the genus zero bihamiltonian structure defined on the loop space of semisimple Frobenius manifolds, and present results on such deformations at the genus one and genus two approximations. ..."
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We consider an important class of deformations of the genus zero bihamiltonian structure defined on the loop space of semisimple Frobenius manifolds, and present results on such deformations at the genus one and genus two approximations.
Odd bihamiltonian structure of new supersymmetric
 Korteweg de Vries equation and odd SYSY Virasorolike algebra, Phys. Lett. B459
, 1999
"... Abstract. The general method of the supersymmetrization of the soliton equations with the odd (bi) hamiltonian structure is established. New version of the supersymmetric N=2,4 (Modified) Korteweg de Vries equation is given, as an example. The second odd Hamiltonian operator of the SUSY KdV equation ..."
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Cited by 4 (0 self)
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Abstract. The general method of the supersymmetrization of the soliton equations with the odd (bi) hamiltonian structure is established. New version of the supersymmetric N=2,4 (Modified) Korteweg de Vries equation is given, as an example. The second odd Hamiltonian operator of the SUSY Kd
Veronese webs for bihamiltonian structures of higher corank
 Banach Center Publications
"... To the memory of Stanis̷law Zakrzewski, with the respect and gratitude 0 Introduction. A C ∞ manifold M is endowed by a Poisson pair if two linearly independent smooth bivectors c1, c2 are defined on M and cλ = λ1c1 + λ2c2 is a Poisson bivector for any λ = (λ1, λ2) ∈ R 2. A bihamiltonian structure ..."
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Cited by 13 (3 self)
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To the memory of Stanis̷law Zakrzewski, with the respect and gratitude 0 Introduction. A C ∞ manifold M is endowed by a Poisson pair if two linearly independent smooth bivectors c1, c2 are defined on M and cλ = λ1c1 + λ2c2 is a Poisson bivector for any λ = (λ1, λ2) ∈ R 2. A bihamiltonian
Bihamiltonian structure of the supersymmetric SKdV hierarchy
 Rev. Mod. Phys
, 1991
"... We prove that the supersymmetric SKdV hierarchy is bihamiltonian. One of the hamiltonian structures (the “second”) is a classical version of the supervirasoro algebra whereas the other structure is nonlocal. We exhibit these two structures as hamiltonian reductions of the recently constructed supers ..."
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Cited by 1 (0 self)
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We prove that the supersymmetric SKdV hierarchy is bihamiltonian. One of the hamiltonian structures (the “second”) is a classical version of the supervirasoro algebra whereas the other structure is nonlocal. We exhibit these two structures as hamiltonian reductions of the recently constructed
Results 1  10
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219